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Finding the Fourth Proportional to 83,378.60, 125,071.37 and 24,214.28

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Solution

The fourth proportional to 83,378.60, 125,071.37 and 24,214.28 is: 36,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,378.60 : 125,071.37 = 24,214.28 : x
  2. Step 2: Convert to fraction form
    83,378.60/125,071.37 = 24,214.28/x
  3. Step 3: Cross multiply
    83,378.60x = 125,071.37 × 24,214.28
  4. Step 4: Simplify right side
    83,378.60x = 3,028,512,608.34
  5. Step 5: Solve for x
    x = 3,028,512,608.34/83,378.60
  6. Step 6: Final answer
    x = 36,322.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.